Math Adda
Polynomials sample test paper
1. The graph of y=f(x) is given below. Find the number of zeroes of f(x)
2. Write the zeroes of the polynomial x2 -2x + 4.
3. Find a quadratic polynomial, the sum and product of whose zeroes are 0 and 5 respectively.
4. Find the quadratic polynomial, the sum and product of whose zeroes are 4 and 1, respectively
5. If a andb are the zeros of the quadratic polynomial f(x)= x2-5x+4, find the value of 1/a + 1/b-2a b
6. Find the zeroes of the quadratic polynomial 4 √3 x2 + 5 x - 2 √3 and verify the relationship between the zeroes and the coefficients.
7. Find the zeroes of the quadratic polynomial 4u2 + 8u and verify the relationship between the zeroes and the coefficients
8. Find the quadratic polynomial, the sum and product of whose zeroes are √2 and √3 respectively.
9. If a and b are the zeros of the given quadratic polynomial f(x)= 5x2 - 7x + 1, find the value 1/a + 1/b
10. Find the zeroes of the polynomial x2 – 3 and verify the relationship between the zeroes and the
Coefficients
11. Find the remainder when p(x)= x3-6x2+2x-4 when divided by 1 - 2x.
12. Find the remainder when x51+51 is divided by (x+1).
13. Find all the integral zeros of x3 -3x2 - 2x + 6
14. Obtain all zeros of 3x4 + 6x3 - 2x2 - 10x - 5, if two of its zeros are √5/√3 and - √5/√3
15. If (x - 2) and [x – ½ ] are the factors of the polynomials qx2 + 5x + r prove that q = r
16. If the zeroes of the polynomial are 3x2 − 5x + 2 are a+ b and a- b, find a and b.
17. On dividing 2x2 + 3x + 1 by a polynomial g(x), the quotient and the remainder were 2x-1 and 3 respectively. Find g (x).
1. The graph of y=f(x) is given below. Find the number of zeroes of f(x)
2. Write the zeroes of the polynomial x2 -2x + 4.
3. Find a quadratic polynomial, the sum and product of whose zeroes are 0 and 5 respectively.
4. Find the quadratic polynomial, the sum and product of whose zeroes are 4 and 1, respectively
5. If a andb are the zeros of the quadratic polynomial f(x)= x2-5x+4, find the value of 1/a + 1/b-2a b
6. Find the zeroes of the quadratic polynomial 4 √3 x2 + 5 x - 2 √3 and verify the relationship between the zeroes and the coefficients.
7. Find the zeroes of the quadratic polynomial 4u2 + 8u and verify the relationship between the zeroes and the coefficients
8. Find the quadratic polynomial, the sum and product of whose zeroes are √2 and √3 respectively.
9. If a and b are the zeros of the given quadratic polynomial f(x)= 5x2 - 7x + 1, find the value 1/a + 1/b
10. Find the zeroes of the polynomial x2 – 3 and verify the relationship between the zeroes and the
Coefficients
11. Find the remainder when p(x)= x3-6x2+2x-4 when divided by 1 - 2x.
12. Find the remainder when x51+51 is divided by (x+1).
13. Find all the integral zeros of x3 -3x2 - 2x + 6
14. Obtain all zeros of 3x4 + 6x3 - 2x2 - 10x - 5, if two of its zeros are √5/√3 and - √5/√3
15. If (x - 2) and [x – ½ ] are the factors of the polynomials qx2 + 5x + r prove that q = r
16. If the zeroes of the polynomial are 3x2 − 5x + 2 are a+ b and a- b, find a and b.
17. On dividing 2x2 + 3x + 1 by a polynomial g(x), the quotient and the remainder were 2x-1 and 3 respectively. Find g (x).
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